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Finding the Third Proportional to 36,978 and 81,332

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Solution

The third proportional to 36,978 and 81,332 is: 178,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978 : 81,332 = 81,332 : x
  2. Step 2: Convert to fraction form
    36,978/81,332 = 81,332/x
  3. Step 3: Cross multiply
    36,978x = 81,332 × 81,332
  4. Step 4: Simplify right side
    36,978x = 6,614,894,224
  5. Step 5: Solve for x
    x = 6,614,894,224/36,978
  6. Step 6: Final answer
    x = 178,887.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.